The Parent Trope

Let's hope the little bundle of joy doesn't spit up on that dress.

Socrates: My friend, I am a man, and like other men, a creature of flesh and blood, and not 'of wood or stone,' as Homer says; and I have a family, yes, and sons, O Athenians, three in number, one almost a man, and two others who are still young

Of course parents can be important in fiction, whether or not they are actually around.

For the other side of things, see Son of Trope, Daughter of Index

Not to be confused with Super Trope.